This session provides a highly systematic and practical breakdown of ratio-based logic, essential for mastering competitive quantitative analysis. The instructor’s methodical approach effectively simplifies complex proportional relationships into clear, actionable problem-solving steps.
Deep Dive
Prerequisite Knowledge
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Deep Dive
Revision Class| अनुपात एवं समानुपात, आयु साझा तथा मिश्रण | Previous Year Questions |
Added:Come hello brother, namaste friends, how are you all brother, hey the class has not started yet, I think it has started, come on brother, is Shahid Khan here, Priyanshu Singh here, Sachin brother, Ranjeet here, Suraj here, Nishhu Gupta here, brother, most welcome to everyone, good evening, Radhe-Radhe to everyone, Jai Hind to everyone, brother, I am two minutes late today, sorry for that and the rest of you all also join the class quickly, the class should be started. Today's class is going to be very important.
Ok? Just like we take tests in class, in the same way, understand today what is your online test? There is a test. Correct? Because one portion of us has been completed which is called ratio.
What do you say? Ratio. So in this, all the chapters like ratio, proportion, age, share, mixture come under ratio. Ok? What is their today, a class of mixed questions has been created for you so that this entire portion can be repeated, okay let's go to these future [sound of clearing throat] blogs, Mudasir Bhai is there, Abir is there, Jaivender Maurya is there, brother, hello to everyone and brother, a very warm welcome to everyone. So now we feel we should start the class. The rest of the people will keep joining. Correct?
So look, in this revision class, we have already told you that ratio, proportion, age, share and mixture, that is, what a combo of so many chapters we have made, so you guys have to solve this with great intensity, that's absolutely fine, let's go Shahid Khan Bhaiya, Jai Hind, let's see, now look at the first question, this question is written by us that if a, subtraction b = 2, ratio 3 B C = 5:7, then what will be the value of CA A? We have to tell this first. Ok? So what did we do in this? A B C means first we have to do A B C, what do you have to do first? Will have to find out.
So just see what is the value of A and B? Two and how many? Three. Correct? It does n't feel good if the neighbour remains empty handed.
So how much will you keep here also? Three.
After this, the value of B and C is given as five and how many? Seven. Correct? So brother, keep five here also and solve it. 5 * 2 = 10 5 * 3 = 15 7 * 3 = 21 i.e. the value of A B C that has come is 10 15 and how much more? But what we are being asked is what will be the value of C ratio A? So what is the value of brother C, son? It is 21. And what is the value of A? 10. Correct? So its ratio will be 210. Your option D is correct. Look brother, whose all have come.
Pradeep Bhai, Jai Hind brother.
[sound of clearing throat] That 's right, everyone. Okay, fine. very nice. Everyone's brother is coming. See the next question. Number on the next page. This question is telling.
Everyone is hearing the sound etc. correctly brother.
Okay, let's see, A, B, C started a partnership by investing Rs. 36000, 4000, 48000 respectively.
At the end of the year, find the difference in dividends of A and C out of total profit of Rs. 2000. This is a simple question. Can you guys please tell me quickly how many answers will come? Tell me brother quickly and brother, everyone please like the class first, quickly, brother, everyone please like the class. Is the sound reaching or not?
Okay brother, the answers of all the people are coming almost in, so just look son A B and C, we had told you earlier also that all are in thousand, so what to do with thousand, leave all of them, so first we will just write this one 36 and this one 40 and this one 48, now these are still being deducted by four 4 * 9 36 4 the 40 12 * 4 = 48, that is, their ratio has come out to be correct, now we have a total profit of ₹62,000. So brother, add them.
How many of these are there? 9 2 11 20 31 means it became 31. Asking what is the difference between the parts of A and C, son? of three. Correct? So multiply it by three. 31 2ni 62 3 2ni 6 i.e. the difference between them will be 6000.
Your option B will be correct.
okay brother. Okay, everyone's coming. The next question is saying when x is added to each of 22, 26, 19, 21.
How much is added? x. Ok? So what I am saying is that the numbers obtained in this sequence become proportional. So, first of all you have to find the value of this x.
What do you want to know? The value of x. How did you find out? Just pay attention. This is written down to us is 22. Then son, it is 26, then 19, and then how much is it? 21 is correct? Now if we want to proportion them then we had to add x to them.
What had to be added? x is it ok? So how did we write for that? Just pay attention there. So just look, this one would become 22 + x. This will become your 26 + x. This will become 19 + x and this will become 21 + x i.e. adding any number to each other makes the numbers proportional. That question has been asked before. Correct? What we did in this was that the product of the middle terms was equal to the product of the outer terms. Is any such question coming to your mind? So in this also I told you a short cut for multiplication. What did you tell me?
We said brother, first they have to be multiplied once and added once. What is the plan? Both have to be multiplied and added. Like earlier it is written 22 + x and along with it 21 plus how much will come? x So what should you do first about this 21 22? Multiplication. Brother, this is 21 * 2 = 42 and 46. Add them once. One and two, three and this is four. That means put an x with these.
Just what happened to their multiplication? Complete.
Correct? So, son, what is its value to us? 462 plus how much? 43x 462 + 43x is ok. Now multiply these by these in equal terms brother, so if we multiply these by these, how much is written 19 * six 114 19 * six brother this is your 26 + x and 19 plus how much x will have to be multiplied, so see how many fours are obtained from 19 * 6 to 114, 11 is correct and 19 doubled is 38, 11 in 38, if we add 9 and 4, that means 494 comes. How many came? Correct? And plus add these. 9 6 15 3 and one become 4x. That means something is wrong somewhere in 494 494 + 45x. One side should grow more or less, brother. Look, its multiple is coming on both sides, 22 26 19 21 is correct, so brother, check if the multiplication of 19 26 is wrong, it is correct, please check because it is coming as 494 on one side also and in plus, it is coming as 45x. Correct?
So here the value of x is going to minus. That's why I was asking. Just look here your 8 has become a 9. This is what we have done.
Well, it was their multiplication. 9 6 15 three and one four is correct. Come on brother, let's see what happens next. So, it means that he is telling us that addition is done but here it has become a matter of subtraction, brother. How much is left?
3x And from here if we see, then brother four two remains and six 3 remains. That means there is definitely something wrong with the question. Look quickly, there is something wrong somewhere.
Wait a minute brother. There is something wrong with the question.
X is added to 22 26 19 21. Correct.
Exactly in 22 26 19 21.
Hey look here brother, how much is left out of this 45? How much is 2x left? So 16 will come brother. How much will it cost? 16 So what is the value of x, son? 16 Where is the wisdom bad? Tell me at all. Three was written after subtracting 43 from 45.
Ok? Come on, son, what is the value of x? 16. Correct? Now you will be careful.
Then in this it's telling us the value of this is we have 2x proportion y proportion y proportion 4x minus how much eight is that right? What is the value of x to be kept in this? The value of 16 and y has to be found. Correct? So just see brother, here 16 * 2 = 32 ratio y proportion y and 16 * 4 = 64, eight should go away. Eight gone from 64, eight gone from 14, six left 56. How many are left? 56. Correct?
So now we just have to solve these and find the value of y. That means both of these will be solved.
Correct? That means this is y squared. Now brother, look at these, these are 8 squares 32 and 8 * 7 56, so this is a square of eight.
But it is saying find the value of y. So here 16 * 4 = 64 is 16 minus 8. Hey brother, let's leave minus 16 here because this was minus, right, so we have to keep minus 16.
Before one problem is over, another one starts.
So 16 twice is 32, but what difference will that make? Minus plus, well, it will make a difference here. 16 * 4 is 64 and you are minus eight, that is, how many will it be? 72 is correct? Now it's okay brother.
Look, why would this also come from here?
Minus K. Why would they come? Minus K.
Please solve these brother. So brother, just see how many answers you have got. This will come son y square. And if we multiply these, then minus minus will become plus. Now see from here 8 * 4 = 32 and eight squares 32 8 9 72 is correct, the square of eight becomes the square of two, four becomes the square of nine, three is correct, so from here y equals 8 doubled 16 * 3 = 48, son, after a lot of calculations, what is the value of y, it has come to 48, see, let's go quickly brother, it's okay, everyone brother, Anuj Gangwar has come, Radhe-Radhe.
Look, so many people have fluctuated. His net worth got messed up in just one question.
Correct? Okay, fine. No problem.
We will understand the fourth question carefully next. What are you saying? How old was Rohan's father compared to Rohan's age 5 years ago? Eight times. When are you talking about? 5 years ago. Ok? So we will write this in minus.
One is a father and one is what? I have a son.
Correct? Now it is saying that the age of Rohan's father was eight times the age of Rohan. How was it? Eight times. Then he is saying that after 5 years do it 5 years plus 5 years. It is said that the ratio between the ages of Rohan's father and Rohan will be 10:3.
How much will it cost? So let's do this once.
How many answers will you get brother? Please see it quickly.
Now we can do it. Asking Rohan's age.
Look quickly.
[sound of clearing throat] It's here. Let go.
One is getting 10, some are getting 15, so there is something wrong, just look at these, 8, 24 and 10, one, 10 are correct, son, we will take their difference, how much will it be, seven and their difference is how much, 14, okay, this is plus minus, so five and five is how much, 10. Now we have been asked the age of Sohan, whoever it is, Rohan, one is correct, so here 7 * 2 = 14 2 * 5 = 10, how much did it come, five five, but when did this come? 5 years ago. If a person was five years old, then now five more would have been added to it. Five and five is 10, right?
So your option A will be correct. So brother, those who got answer 10, it is fine for them. That means those people are working hard and those who got 15 are not working hard.
Correct? Okay, and those who have not come at all are not doing it at all. Look further this question is written son 10400 is divided into three parts in the ratio 1/2 1/5 1/6 among P Q R.
Then find the share of q. It is a simple question. Tell me quickly what answer will you give?
[Sound of clearing throat] Okay, Ranjeet Bhaiya's is coming for 2400.
Okay, some people might be watching it like empty TV. We are not solving it at all. Isn't it? Let's take a look from here.
So this son, we have P, Q and R which he is seeing as 1/2, 1/5, 1/6, so we will take the loss of all these and the loss that will come to you will be how much? 6 * 5 = 30 right? So it will be 15 here and 5 * 6 is 30, 6 * 5 = 30 is correct, so this is their ratio.
How much money did we have now? 10400 and here see the total son, 5 10 and how many more? 26 is correct? Now here in multiplication it is asking us what will be the share of q?
How much is q? six. So brother, cancel it here from 13th.
So 13 * 2 = 26 and 13 * 8 = 104 and 2 * 3 = 6 8 * 3 = 24 and double zeros left. Correct? So, that means how much is left, son? 2400 Option B is correct. Look whose brother has come. Everyone 's right. Let's look further. This is the sixth question. Krishna is saying that he has some coins of ₹1.50 paise and 25 paise in the ratio 1/4, 1/2 and 1/2.
If the number of 25 paise coins is 100 then what is the total amount that Krishna has? He is asking us this.
So just look. The coins they have given us are of ₹1, 50 paise and 25 paise. Ok? What is their ratio? Separate it properly first.
1/4 1/2 and 1/2 so their brother comes to four. 4 * 1 = 4 2 * 2 = 4 2 * 2 = 4 That is, all this is given in the ratio 1:2.
Correct? Now from here he himself is asking us that brother, how many 25 paise coins are there? 100 25 paise coins, that is, the way these are 100, that is, we must have multiplied two by 50, only then we got 100, so these ones will also be 100 and see how many of these ones are there brother. If we multiply these by two and their value is 100, then what will be the value of one? 50 is correct? Convert all these into rupees the way you used to do.
Now just see, if you have 50 coins of ₹1, how much will it be in rupees? Let's calculate their value.
What are you taking out?
Value. Brother, if there are 50 coins of ₹1, then how many rupees does it amount to? ₹50 plus if there are 100 50 paise coins. Brother, how much will 100 rupees of 50 paise be? Even then 50 and if there are 100 coins of 25 paise then brother there are four coins of 25 paise in ₹1 so divide it by four 25 * 4 equals 100 add all these 25 50 that 50 50 and 25 how much is ₹125 so your option C will come see brother someone's number has come hey brother brother from Daulatpur Karena you have appeared after a long time where were you for so many days [sound of clearing throat] okay it has come brother everyone's number let's see further on the next number son is saying there are two numbers which are in the ratio of 5 ratio 8 in the first there is an increase of 40% and in the second there is a decrease of 15% so he is saying what will be the new ratio? This is a very easy question. Please tell me quickly.
Look brother Maurya ji, how many answers are coming.
Look, this was our number one five and one how much? Eight. 40% increase in the first means 140.
In the second one it is saying 15% decrease means 85, this is what it will be brother, 40% increase, 15% decrease in one is correct, cancel it, cancel it by five 17 * 5 = 85 now from here cancel it by four 4 * 2 = 8 4 * 3 = 12 two left 4 * 5 = 20 now no one is deducting from anyone 35 17 * 2 = 34 that is what will be the ratio 35 ratio 34 your option B will come brother. Ok? MR OFFICIAL Hello brother. Ashwini Pathak Mr. Why do these people come from only half the class? Look ahead quickly.
4 years ago the ratio of Ram's age to Shyam's age was 13:9. This will be the ratio of their ages 8 years from now.
Find the difference between their ages. Ok?
So brother, quickly see what answer you can come up with.
This means that 4 years ago the ratio of the ages of Ram and Shyam was 13 and 9. Whereas after 4 years it is saying that the ratio between their ages will be 4:3.
13 * 3 = 39 square 36 will remain the same. So what is this 1 divided by? How much is three and four and four? Eight. Correct? It will remain like this.
Now the question is how much difference will there be between them? So brother, the difference will always remain the same.
Well, this has been written after 8 years, son.
Sometimes a mistake happens here. what is written?
After 8 years. Correct? So what is eight plus four? 12. Now look from here. The difference will always remain the same. No matter how many years it takes, the difference will remain the same. So take the difference between them. 13 to 9, how many are left?
Four. 3 * 4 = 12 4 * 4 = 16 So what will be the difference? There will be a difference of 16 years.
Your option B will appear. Look brother, everyone's arrival has come. Okay, fine brother.
Maurya ji, you must be keeping an eye on us. What are you doing?
[sound of clearing throat] Okay, brother.
Shahid Bhaiya is saying please explain it once again.
Take it brother, take it again and then understand. This son is telling us like this was 4 years ago right? So let's add a minus for 4 years ago. Now we are saying that the ratio of the ages of Ram and Shyam was 13 and what was it? nine. Correct?
Understand carefully. Then he says 8 years from now.
So it will be + 8 years. He is saying that their ratio becomes 4:3. Correct?
Whenever such a question arises, we solve it by cross multiplying it. 13 * 3 = 39 * 4 = 36 correct? Take their ratio brother. One here and how many here?
Three. These pluses and minuses are different. Let's combine both. 8 and 4 12 Now let's multiply what has been asked. If you ask about the difference, then the difference between these two is of years, the difference between them is 4 years old. How much is it? So 3 * 4 = 12 4 * 4 = 16 i.e. the difference will be 16 years. Your option B will be correct. Look, brother, you are right. Well, that's great, everyone must have understood.
Next, please do this immediately, absolutely absolutely [sound of clearing throat] see, this is saying Sonu started a business by investing Rs 400. After 4 months Prem joined with 80.
Alok joined with 12 1200 after 8 months from the start. The total profit at the end of the year was this much.
So Alok's part. Now first see who was one brother? Who was Sonu? Sonu. Ok?
Who was the one near you? Love. One was love. Correct? And who was the other one? Light. One is light. Correct? So it was three people.
Now just look, we have 1 2 3 4 four zeros in all of them, so brother, what should we do with four zeros, they are cancelling it, right?
First, he started the business by investing ₹4 and stayed for a whole year. The next person is saying after 4 months, so brother, there were 12 years and months, eight months left after 4 months, right? This person came for 8 months and brought ₹8. The next person came after 8 months, after 8 months, look, he is saying that it is 8 months from the beginning, right? So, how much will it be after 8 months, four months will be left, right? And this person brought Rs. 12, this is the ratio of all of them. Now just look, brother, 12 * 4 = 48, 8 * 8 = 64 and 12 * 3 = 12 * 4 = 48, so brother, we feel that everything is being deducted from 16, 16 * 3 = 48, 16 * 4 = 64, 16 * 3 = 48, is 4 correct? So this is their ratio, your ratio must have been the same too. Now he is telling us that at the end of the year there was a total profit of ₹156000. How much? There is a profit of ₹156000. So look here, three three six and four how many? There is a profit of Rs 10. He is saying find out Alok's share. So what is Alok's share? Three. Ok? So brother, here zero to zero cancel. Multiply them.
1 2 became 0. 3 * 6 = 18 15 * 3 = 45 and how much is 46 i.e. ₹46800 your profit will be which option is yours, see how many answers have come, brother, everyone's have come, okay, very good, see the next question, see the number next [sound of clearing throat] read it quickly and understand once? This saying goes that experience and pride start a business. Anubhav invests ₹55,000 more than Gaurav for 2 months.
For how many months? for 2 months. And Gaurav invests for 5 months. It is said that in the total profit of 71000 7155, Anubhav's share is so many rupees more than Gaurav's share.
Correct? Now find the capital invested by Anubhav. A little bit of this, a lot of that, he doesn't say. A paragraph has been given to it.
Brother, just look what is the total profit? This is your total profit. total profit. The total profit of the son is Rs. ₹7155 which is correct and it is saying that it is so much more than Gaurav's share i.e. this is the difference what is this difference Anubhav's share Anubhav's share is more than Gaurav's share there is a difference of 1431 between the share of Anubhav and Gaurav. Correct? So now you've learned how to find the larger part when you're given the sum and difference? We find out the half of the addition and the smaller part by subtracting half. Correct? So we have to find out the experience part first. Only then can you take it out.
What do you want to do by uniting these two brothers? half. So brother, what is five and one? six. Three and five make eight. One and four five seven and one eight.
Divide it by two. 2 * 4 = 8 and 2 * 2 = 4 2 * 9 = 18 2 * 3 = 6 means Anubhav's share was ₹434293 correct now he is asking us about Gaurav's share so how will you find out Gaurav's share, reduce these to half so brother five to one how much is left four and here five to three is left two and here your 11 to four is gone seven and here six to one is gone how much is left five and then reduce this to half correct so 2 * 2 = 4 2 * eight 16 2 * six 12 and 2 * 2ni 4 how much is left 2862 correct this is their ratio now you can cut them if you want if they are cut or not cut then we will see later correct now he is telling us that Anubhav and Gaurav are a business now let's come to the main topic just see Anubhav invests ₹55,000 more than Gaurav for 2 months. For how many months? for 2 months. Anubhav invests ₹2000, sorry ₹55,000 more than Gaurav.
Correct? And Gaurav invests only for 5 months. For how many months? Now understand here. An experience that we accept is an experience and a pride.
See how much money he has invested. He is saying ₹55,000 more than Gaurav.
Suppose Gaurav invested x rupees, then how much did he invest x + 55,000? x plus now you have to solve these, just see. So brother is saying that Anubhav has got so many rupees more than Gaurav for 2 months, that is, Anubhav has got it.
x + 55000 and it took several months for 2 months. Correct? And it is said that Gaurav invests for 5 months. The amount invested by Gaurav was x for five months and their ratio is given here.
How much did Anubhav's money cost? How much did the experience cost? 4293 rupees? 4293 and how many does Gaurav have? 2862 2862 is correct? First we will solve these. Only when you simplify it will your problem be solved.
Correct? So please beat him up quickly. Look here 9 3 12 2 14 and 4 18 all cancel out with nine. Ok?
Cancel from nine. 9 * 4 = 36 and six left 9 * 7 = 63 9 * 7 = 63 We will do this with nine 9 * 3 = 27 One left 9 * 1 = 9 Seven left 9 * a 8e 72 7 14 8 a 9 3 12 Now more will be cut from three, so brother cancel from here with three 3 * 1 = 3 One left 3 * 5 3 9 27 of these 3 * 1 = 0 3 * 6 = 18 more will be cut brother, look, the top is getting cut but the bottom is not getting cut by anyone. Correct? So if it is not cutting now it will cut from 13. 13 * 1 = 13 is not cutting it. Correct? Now brother, no one is getting separated from anyone. What do we have to do with them now? You can only multiply. There is no other way. Correct? So what will you do with them? Multiplication. It will be cut brother.
Look, I don't think it will be cut.
Brother, look, we don't feel that 159 is being subtracted from anyone, at the moment it will be subtracted from your 53, sorry, it will be subtracted from 53 because if we factor 159 by three, 3 * 5 = 15 3 * 3 = 9 is correct, it is subtracting from 53 brother, just look carefully, it has become 53 and now it is 53 doubled, we get tired of multiplying this, right brother, please look, this is very important, see 2 * 2 = 4, son, if we multiply by four, we will get 4x. How many will come?
Now multiply these by four. 0 0 4 * 5 = 20 4 * 5 = 20 and if we multiply these two 22.
This 5x from the first this three this 5 * 3 = 15x correct. Now what is the difference between 15 and 11? How much is 11x? The value of 11x is 220 and 1000. Correct?
So 11 2ni 22 right? It's here, how much is your 20,000? What were you asking about the value of 20,000 x, brother? He is saying how much did Anubhav do? So Anubhav has invested this amount. Take away the amount of experience. Have you seen the experience brother, how much do you have? x x means 20,000 is correct and 55000 and 55000 is correct so 5 and two 75000 are placed. There is an option, any option A, please understand it once calmly, just see brother, what has happened, brother, this Shahid Bhaiya has forgotten his eardrums, just see, he has made some such sign, this means that Shahid Bhaiya has forgotten his eardrums, see, understand quickly, a lot has been twisted in this small question. Ok? This is a question from RRB NTPC. It has arrived in 2025. That's a good question. Just look what you have done to us? It implemented all the methods of distribution i.e. ratio and proportion.
Look, first he is telling us that the total profit of both was Rs. 71000 What was that 7155 difference? Correct? Now the point here is that we first had to find out their benefits.
profit we found out your how much how much this was gonna. Correct? Now, a little bit could have been saved here if the ratio could have been calculated there itself. What would you have done? Ratio right there.
So just look at it, let me explain it once more.
Remove this first. Correct? It will take about 2 minutes. So, look, we will definitely find out the amount of experience.
How much has come? What would you have found out about them? What would you have found out the ratio here? It would have been best if we had known the ratio.
So just look, remove this one and keep it somewhere. We are removing this thing and keeping it here because they had accepted this much amount. Ok?
Come on brother, accept Gaurav's words here. Correct. A wealth of experience and pride has arrived.
You should find out their ratio. Experience and pride. Anubhav and Gaurav are right, it would have been better if you had cancelled them here, right, now it will definitely be cancelled, it will be done, how much was written brother 4293 and the ratio 2862 is correct, you cancelled it from nine, cancel it from nine, how much came 9 * 4 = 36 and here the remaining 6 9 * 7 = 63 9 * 7 = 63 here 9 * 3 = 27 and 9 * 1 = 9 9 * 8 = 72 is correct. Then this was your result 3 * 1m from three and here one is left 3 * 5 = 3 * 9 = 17 3 * 1 = 0 3 * 6 = 18 Now 53 from 53 * 3 and 53 twice this ratio came, we know the amount, so the amount of Anubhav was how many rupees x + 55000 is correct and what was its amount x, he invested his amount for 2 months and he invested the amount for 5 months, what was the ratio of these? 3 divided by how much?
Five. That's it now. Simplify this.
5 not double Is something wrong? Here it is 3/2. It would have been wrong again brother. Correct. 2 * 2 = 4 so 4x and its plus comes 4 * 5 = 20 220 and this 1000 is going together.
5 * 3 = 15 is correct. How much of this 11x value did you get? This one. Correct? So from here 11 * 2 = 22 i.e. the value of x was 20000, is it correct? Now we had to find its value, so take it out here brother 20000 and plus how much is 55000 correct?
How many are there? 75000, this is your answer for option A. Look brother, whose all has come? You must have understood.
Brother, please do this once again while sitting at home. Correct? See the next question. He is saying that if at present Bhumi and Som Bhaiya, we have already asked this question to you people once in the age group.
You guys should definitely watch it a little bit. Ok? So let's say if the ratio of the ages of Bhumi Som at present is 7:3. What was the ratio of the age of Bhoomi 4 years ago to the age of Som 4 years later? 2 ratio one. Correct? This is given by us. First look, here the son is saying there is one land and who is the other? Mon. Correct? What is the ratio of their ages? 7 ratio 3 right we'll take this [nasal sound] as 7x and this as 3x just look carefully. This value is the first one is 7x and what is the second one? 3x Now you keep reading. If the age of the land is 4 years ago then we will do it 4 years ago. Will give a minus. Then it is saying that after 4 years, the ratio of Som's age was 2 to 1.
Correct? By solving these you will find the value of x.
What will happen? This is 7x - 4 3 * 2 = 6x and 4 * 2 = 8, so see, 6x is added to 7x and 1x is left. What is eight and four?
12. What is the value of x? 12 is correct.
Now from here if we multiply them and find out the age of that brother then this would come to 12 * 7 = 84 and this would come to 12 * 3 = 36, this would come to the age, that is, what is the age of Bhumi and Som? 84 and how much? 36 is saying something after this. It is saying the age of the land after 4 years.
4 years brother, how old is Abhay?
How old will she be after 84 and 4 years? So we have to do plus four. Please subtract Som's age 4 years ago.
So look from here, this is 88 and this is your amount? 32 cancels out to eight 8 * 1 = 8 8 * 4 = 32 What ratio remains?
The ratio will remain 11:4. Option A will come brother. Look quickly.
Everyone's right. Okay, fine. Let's see the next question on number next, son. The incomes of Nikhil and Ritu are in the ratio 2:1.
They spend in the ratio 5:3.
Ok? and save in the ratio of 4 to 1. What do you do? Savings. If the total monthly savings of both Nikhil and Ritu together is ₹10,000. How much is it?
₹10,000. Correct? Now he is telling us that the total monthly savings of both Nikhil and Ritu is this much. The monthly income of each is to be found.
So just look, it has given us the ratio in income. What is their ratio in income?
Brother is saying expenditure 5 ratio 3 oh sorry income 2 ratio one 2 ratio one expenditure what is the ratio? is the expense ratio. He's saying look what is 5 times 3? 5:3 used to do something like this.
Now look from here, what is the special thing that has been mentioned, what is the expense?
What is that sorry savings? What is the ratio of savings to savings? 4 Ratio is one but savings share is also given. The combined savings of both is Rs 10,000.
What is the total of four and one? 5 * 2 = 10 i.e. it becomes 2000. So the first person saves ₹8,000 and the second person saves ₹2000.
This thing became clear. Correct? Is it right now?
After this, please take back whatever you have given me here, brother. Just see how much you have given, if you want you can do it by cross multiplying them. Will be done. It does n't happen. Correct? Look carefully.
How to do it right now? How did we do it? Look at that. How much is this 2x?
2x is income and what is 5y? How much is the expenditure and how much is left? How much is 8000 saving?
8000 What is its income? x and how much does it cost? 3y and how many is it able to save? 2000 is correct? The calculation for this is the same as income is eight annas and expenditure is one rupee. Ok? So brother, see what should we do now?
Multiply it by three and multiply it by how much? Solve these with five, brother. So this 2 * 2 = that 2 * 3 = 6 this is 6x and this 5 * 1 = 5 so what is left? x Look from here 8 * 3 = 24 and 5 * 2 = 10 i.e. how much is left? 14 is correct? So, son, what is the value of x that you got after solving it?
How much is 14,000? Now what proportion was given in their income? 2 ratio one. Correct? So, if we want to divide two ratios into one, then multiply these by 14 * 2 = 28000 and 14 * 1 = 14000, if this is correct then their ratio will be 28 and 14, see whose ratio has come in option B. Okay, let's go fine. Let's see the next question on number next, son.
You need to simplify this ratio. Ok?
What is written about worldliness? Many people remain confused in this. So this does n't mean much. Ok? So this means that it makes a difference only sometimes. At the moment it is larger and smaller showing that p greater > 0 the value of p is not zero. Whatever else may be there. So how do we solve this? 3/2 is equal to the ratio 1/p and 1/p is equal to the ratio 1/6.
What will be the product of the middle terms and the outer terms? Plough. Ok? So multiply these by 1/p square, if we multiply them then how much will it be brother 3/ * 1/6 3 * 2 = 6, so this 1/p square does not mean the square of 1/2 brother, so it is two, that means compare it, what is the value of p, is two correct? This is what he is asking, what will be the value of p, so what will it be, it will become two, look brother, everyone has got the value, okay, everyone has got it. The next question says that a grocer mixes two varieties of tea costing ₹120 per kg and ₹125 per kg in a certain ratio and prepares a new variety for that amount.
Just tell the ratio. Tell me quickly brother, what answer will you get?
Look quickly. It has arrived.
Come let's see, son, how much value have you paid for the first one? The value of one is 120 and the value of the other is 125. The value of the mixture is 122. That's what we do.
You have two left here and three left here. Ok? So this simple ratio will be 3:2 for option A. Correct? Let's look at the next question. It is said that Radhika requested a bank cashier to give her coins in exchange of her cheque of ₹1845. What should I give? In what ratio did the cashier give him the coins 5 10 20? Coins of ₹5, ₹10 and ₹20 were given in a packet in the ratio 3 5 7. Ok? How much is the total value in rupees? 18 45 1845 This is the value given. We will find out their value.
What will the total cost be? Brother, look, if you have three coins of ₹5, then how many rupees do you have?
15. If you have five coins of ₹1, 50. If you have seven coins of ₹20, then 7 2ni 140.
This is five. This five and five how much is 10 and how many twos here, that means your value becomes 205. Correct. Now after this he is asking us to tell the total value of the smallest coin received by him. Okay, which is the smallest coin? The smallest coin is five. This has to be told. So how many coins does it have in total? Three. So what will we multiply by first? From three. Ok? And their value was calculated directly like this. So write 15 directly from here.
End of discussion. The price will come directly to you.
That means how much will it cost? 15. Correct? Please solve these. Your answer will come.
So look brother, 5 * 3 = 15 5 * 4 = 20 and 5 * 1 = 5 will definitely be subtracted from 41, brother 4 * 4 = 16 will be added four times first, that is, 4 * 4 = 164 will be added five more times. Ok? 45 * 3 = 135 means what will be its answer?
Option B will fetch 135. Correct? Look brother, how much has come. Let's go brother. Is everyone's right? Let's see the next question on number next. Son, this is your question of proportion. What is written, son? 7.5 ratio 19.5 proportion 16 ratio x So let's multiply it by this type. That means let's solve it like this.
Ok? Please tell me. Only you people can tell this. Son, what will be the value of x?
What is written here? 135 of Sachin Bhaiya, we feel something else is coming 1335135. It has been deleted. Come on brother, see how much is coming.
[Sound of clearing throat] In such a case, brother, we directly find the value of x. Why does it take so long? Correct? And how much is divided? 7.5 good point here point here do n't people say thief thief cousin brother so this is also a thief this is also a thief finish the matter of point so brother from here it will be subtracted from 15 15 * 5 = 75 now 15 one plus 15 four left and 15 * 3 = 45 now it is not subtracted so brother the multiplication table of 13 is already known 5 * 3 = 15 one left 5 doubled is 10 is correct brother multiply them 13 doubled is 26 13 * 3 = 39 and two 41 41.6 is there any answer is the one in option B is correct? You will see that everyone's answer must have come. Okay, if it doesn't come then note it down.
Next is three partners P Q R. Let's start a business.
Twice the capital of P is equal to thrice the capital of Q.
Correct? And Q's capital is four times that of R.
R's share in the profit of Rs 27500 at the end of the year is to be stated. So this is a very simple question. There is no problem. Do it quickly.
What happened? Did something happen in class? Let go.
Look brother.
This is telling us that twice the capital of P. There is a P and many times its capital?
Double. It is saying that it is correct, hey, q is not written here, capital of P, come on brother, write q in place of the blank space here, it is correct, this by mistake is left here, so three times the capital of q is three times the capital of q, so that means p ratio, value of q, 3 ratio, how much is two, further it is saying that capital of q, capital of q, capital of R, yes, see, capital of Q is equal to four times the capital of R.
is equal to four times. First we have to find PQ R. Take it out brother P Q and R, the value of P and Q becomes three two and two. And the value of QR is four and one. How much here too? Four. So brother, from here two more 2 * 2 = 4 2 * 3 = 6 four and how much? One. This is their ratio. Now he is asking us [nasal sound] what is the profit at the end of the year, there is a profit of ₹27500. 6 4 10 and one 11 asking here what is r's share? So the part of r is my brother one so put one from here.
11 * 2 = 22 11 * 5 = 55 i.e. r's share will be ₹2500. Your answer is any one of the options D. Look how much is coming. Everyone's right. Okay, fine brother. Let's look at the next question. Look at the next number, it is asking which is the third proportional of 16 and 40? What will be the ratio of the third proportional and the proportional between 10 and 40? What is third proportional?
Remember, if you were asked to find the third proportional of a and b, then the second one would be written twice, b times how much a is divided by, is it correct? How would you find the middle ratio of a and b, how would you find the middle ratio, under root a times b, if you want to do it exactly like this, then put it in like this, if you want to find the third proportional of these, then what will happen, it will be 40 times 40 divided by, say it is 40, write it is 16.
Look brother, how much is 16 in 40 divided by this rule has been applied, the first and second one is saying that the mean proportion of 40 means how much is 40 multiplied by 10, this will be ours, we have directly kept it in this, now just see 8 * 2 = 16 8 * 5 = 40 brother, subtract 2 from two, 20 * 5, how much is 100, this ratio becomes 400. What is the ratio of 400? If the square root of 20 is 0 then 20 * 1 = 20 * 5 = 100 i.e. what ratio will come? 5 Ratio One Option A is correct.
Hey, the net of so many people got messed up. It has n't even been an hour yet. Okay, fine. No problem.
What about the net of these people, they will face a lot of problems on Monday.
Ok. Let go. Hey, now the number of people has increased immediately.
Understood? This is saying if the third proportional to 3x² and 4xy is 48. Now we have told you how to find the third proportion, son? Let's write this twice. That is, 4xy times 4xy divided by 3x² is equal to 48. The value of Y has to be found.
Correct? So look brother, there is an x here and there is an x here. x squared cancels out.
Correct? 4 * 4 = 16 16 * 3 = 48 Here is your y squared and it is three over three squared. That means the value of y will be three. Your option D is correct. Look, this is all I have come. Okay, fine brother.
Very nice brother. Everyone's answers are coming. Let's look at the next question. The ratio of milk and water in a mixture is 2:3. Some quantity of the mixture is mixed with some quantity of milk.
So brother, look, whose son has given this ratio? Of milk and water. Correct? What is the ratio, Ranjeet Bhai? Just look. 2 What is the ratio? Three. Correct? But how much did it become after adding some milk? 10 ratio 3, just understand what has happened from here brother, here it was three, it remained three only, nothing was added to it, this was two, how much did it become 10, how much would have been added, eight, how much would have been added, eight, now it is saying that the initial mixture was this, this was 2 liters, this was what liter, three, so the total mixture became what liters, five, how many liters did it become, now it is saying how much milk was added as a percentage of the initial mixture? how much milk? So how much milk has been added? Eight. Correct? And how many in multiplication? How much is 100 divided by? 5 doubled 10 8 2ni 16 i.e. 160% milk has been added.
Your option C will appear brother.
Look quickly. That 's right, everyone.
Okay brother, very good, let's see the next question. That is saying if the mean ratio between p and q is 12. What is the median proportion? So saying what is the mean proportional son of the possible values of p and q? p * q = 12. That's what it is.
Now if we find the value of p and q.
That is, 12 144 means any two whose multiplication gives how much 144 becomes, so brother see if we multiply them then 3 * 8 = 24 and 3 * 2 = 6 and 2 8 this is 84 so this cannot happen, look at 3 8, 3 * 8 = 24 and 3 * 3 = 9 2 11 this also did not happen, look at 6 * 4, 6 * 4 = 24 6 * 2 = 12 2 14 this one is correct, your option is C, so how much more can it be than 24? You have got six options. Correct?
Look, it has come quickly brother. Okay, fine. Very good Mahesh Bhai, everyone has arrived. Let's look at the next question.
Look, it is saying that the ratio of water and milk in a mixture of 120 litres is 5:7.
How much water must be added to the mixture to make the ratio of water and milk 1:1? understand. When we said that the quantity has already been given then why don't you vary the quantity first.
So understand here. It is telling us water and milk, water and milk. Brother, just look at this, it is given in reverse 5:7 and the total given is 120 7 * 5 12 12 d 120, that is, water is 50 and milk is 70, is it correct? Now it is saying that to make the ratio of water and milk one ratio one, what ratio one ratio one, now just see, we have to make this equal. So brother, we will do it equally only if we add 20 more litres to it. How much will you add?
Correct? So this is the answer, which is your option? The one with C. Correct? So brother, why are you taking him from here again? Keep it here only.
Correct? Let us tell you straight away that we will have to tell you something else first. Let's see further.
Next is the son. This is also very simple. Take.
Such simple questions are coming. Please do it quickly.
What are you saying? T is to find the proportion. Find the median proportional and the outer proportional by quickly multiplying.
[sound of clearing throat] It's here.
Let's give this son 5t + 3u and the ratio 5t - 3u and equal 5 ratio 3 this will be the multiplication of these people. Correct? So multiply it by three, brother. 3 * 5 15 t and 3 * 3 = 9 u equals 5 25 t and minus 3 * 5j 15 u so what will be the difference between 25 t and 15 t brother, the difference has to be taken, so how much is left brother 10, how much is left and this nine is plus minus, so what is 15 and 9 24 u so he is asking for the ratio of t and u, find it brother t and u are cancelled two claws and 12 * 2 = 24 so the ratio of aa is 12 ratio 5 is correct your option D is correct see all have come, let's go, okay brother 5 ratio 6 what are you doing bhaiya Maurya ji see the next question is asking in what ratio sugar costing ₹84 per kg should be mixed with sugar costing ₹59 per kg so that if the mixture is sold at 73.7 paise then there is a profit of 10%. Ok? So please take a look brother. From here we have to find out the value of the mixture, the first one is 84 and the second one is 59.
How much is 110 times ₹73.7? 100 okay?
Remove the point zero zero to zero cancel it will it get cancelled see brother it will get done okay 11 66 7 left 11 7 the value of the mixture has come to 67 correct solve it its difference 14 seven gone seven left and here seven gone six one left subtract this brother so seven gone nine nine seven 16 that sorry 17 went nine nine how many are left eight and direct proportion 8 ratio 17 nothing had to be done correct ratio B will come see brother okay very good brother Anand Pratap Singh Rathore okay brother see the next question number next son it is saying Amit and Vinod invest in a partnership business in the ratio 4:5.
How much money does Amit get out of the total profit of ₹5,000? 1500 then find the ratio of the period of investment of Amit to the period of investment of Vinod.
So brother, we had told you the ratio of profits long ago.
What did you tell me? How do you calculate the profit ratio, brother? What did you people do with your capital and time? Multiplication. Multiplication of capital and time used to do the same.
So just look, this brother invested in partnership in the ratio of 5:4.
First is Amit and who is the second son? Vinod, are you looking Vinod, look brother, this one has four rupees and this one has five rupees. Suppose it has invested for x years and it has invested for y time. Correct? Now it is telling us that the profit is Rs 5000. How much did Amit get? Look it says that Amit got ₹1500 as profit out of the total profit of ₹5000. How much did Amit get? 1500, brother, how much would he have got? Subtract 05 and three over here.
Who was this other one? Humor. So just look, he has got this many. It would be better if you quickly find out their ratio.
0 to 0 5 * 3 = 15 5 * 7 = 35 Amit and what will be the ratio of this? Is 3:7 correct? This is ours. Now see from here, the first one goes into the previous division. The second one goes into the other's share. x y then 3/4 ratio 7 /5 and multiply it diagonally brother. 5 * 3 = 7 * 4 = 28 This will be your ratio.
15 28 Option B is correct. Look, if someone's name has not come then everyone has come, if you are facing any problem anywhere then please tell me brother.
Is everyone okay? Let's look at the next question.
And only a couple of questions remain. Finish it quickly and move on. This is given by doing this so that the ratio of A and B to B and C to E and F is this much. So just look, this son is saying that A B = C: D = E F equals how much has been given? 5 ratio 7. Correct. This ratio has been given to us. Keep it a little here and brother, make it bigger.
Correct? Now understand here what is the value of each of the previous ones A, C, E?
Five. Correct? And look at its value here. What is the value of B, the value of D, the value of E? Seven. Correct? This is something to keep your attention and nothing else.
What was it saying in this? 3a 5c + 11 and we have to tell the ratio in what? Is 3b + 5d + 11f correct? I have to tell you this. So look here brother, everyone knows the value of a is five. What is the value of a? Five.
Look carefully at the first thing. What is its value, son? Five. What is the value of a?
Five. The value of C is five. The value of E is five. So what will happen to everyone's place, five?
Common. Ok? So five became common. This leaves three. Three left. Brother, three are left. 3 + 5 plus how many? 11 Something similar was seen here. The value of B is seven, the value of D is seven, the value of F is seven, seven became common. 3 + 5 + 11 was seen. This and this cancel out, that is, what will your ratio come to? 5 ratio 7 with option D. Just see brother if anyone's name has not come. Okay, everyone is coming.
OK very good. Let's look at the next question and one more.
Look, it is saying that brother, in what ratio should sugar worth ₹45 per kg and sugar worth ₹52 per kg be mixed?
Sell the mixture this much. So brother, we have one for ₹45.
How much is it? How much is 45 and one? 52. Ok?
Now the ratio is to sell this mixture.
We are selling for ₹55.20. 15% profit plus original price. Remove point and increase zero.
Zero to zero cancels. Ok? Now brother, this 15 will definitely be deducted from five. So brother, cut it by five.
5 twice 10 5 * 3 = 15 5 * 1 = 5 * 1 = 0 5 * 4 = 20 Correct. How much will it be?
We feel that 23 square 92 is being subtracted from your 23, brother, check quickly 23 square 92 and brother 3 * 2 = 6 3 * 4 = 12 3 * 5 = 15 3 * 6 = 18 and 3 * 8 = 24, that is, 48 will come and go eight times, is it correct, so whatever is cancelled by you, check it according to us, brother, after subtracting it once, it is 48, friend. Correct? Let's look further. Their ratio is three sons.
How much of this and this? Four. So what is your 4 ratio? Three. Which is your option? It is the A one.
Look at it quickly. Okay, fine. very nice.
Everyone's right. See the next question. This is saying that the value of a diamond is directly proportional to the square of its weight. Do you understand what this means?
What this is saying is that there is a relationship between weight and price which is proportional to the square of the weight.
Look, if the weight is five then the value will be the square of five. Correct? That means 5m 25 is saying it is directly proportional to the square of the weight.
Now understand that it was a diamond and it accidentally fell from his hand, so brother, it broke, for how much? Six eight and how many? 11 is correct? That means it broke into so many pieces. This became its burden.
Tell me the total weight brother. How much [nasal sound] will it be? 11 8 19 and 6 25 right? If its value is calculated. What should be removed?
What will be the value of 25? 625 will be several rupees.
Is it right brother? Meanwhile it broke into pieces.
What is the total weight of the part? There was a 25 gram diamond. Its price became several rupees 625.
Now next time he is telling us that if we go to sell this first part then it will be sold for many rupees, 36. How much will the second one sell for? In 64. The third one will be sold for 11 11 121.
Correct? Add these. 6 4 10 and one 11 and 6 3 9 2 11 and one is 12 of the resulting one and one is how many? Two. That means, the thing which was worth ₹625 was sold for ₹221 after breaking. That means, just understand how much loss would have been incurred, from here brother, one became four from five and two became 0 and two became 4 from six, how many, there is a loss of ₹404, according to this and here the loss is of many rupees, 8880/404 multiplication is asking, the actual price of the diamond was many rupees, 625 brother, see after solving it, how much will it come, sit down Prashant Pal brother, it is getting deducted, no, see quickly, it is correct, first you must have added it twice, so brother, here one and two means this is your 88, that is, then 88 will come, two and zero is correct, now brother, how much have you got by multiplying them, see brother, how much has the multiplication come, it has come, 13750, 13750 will come, the one with D is correct.
Yes Prashant Bhai, please tell me what you want to say brother?
Look, everyone's arrival has come. The next question is saying that son, the ratio between so many and so many is this, so it is saying that the positive value of a, where a is positive, then the value of x has to be told. There is no problem. Just see how you find the mean ratio?
What do we do to find the ratio between a and b? Brother, let's close it under the root.
Under root a gu right? So the middle ratio of these is also under root 4a squared and times how much x equals 1/5a, right? If we want to find the value of x, then we will square it only then the under root will be removed. So that means this is brother 4a square times x divided by 5m 25a square, this thing will come in division.
Find the value of x. 25 four 100 and two to the power of a, this two, so add the exponent to the multiplication, that is, what is the result, four, so the value of x comes out to be one divided by 100 a to the power of four, see, it is coming for all, option D will come brother, see quickly, it is correct, see the next question, this is a very good question, it is saying that a batsman missed a century by four runs in an innings.
What number is a good century? Ranjeet Bhaiya, 100 marks, how much is that 100 and here he missed it by four runs. That means he must have scored 96 runs.
How many runs would have been scored? That's right brother.
Missed by four runs. Now look here it is saying how many sixes were hit in this innings? How many fours did you put? How many did you put in three?
How much should two be planted and how much should one be planted? That means it is a run. What have you given me, son? Run. Ok?
Their ratio is given in this type. That means how many times? Three, two, seven and 10.
Now if we calculate their total runs then that will be the total runs. So brother, if you hit a six once, many runs would be scored. Six. He hit three fours 4 * 3 = 12 Three runs divided twice 3 2ni 6 divided twice seven times 7 2ni 14 and this 10 please tell the total of these brother what is it 6 12 24 and 14 what is it brother 24 and 14 24 and 14 38 and 10 what is it 48 means runs are being scored here 48 is asking us how many runs did he score in one run?
Scored 10 runs as a single. So do it from 10.
48 doubled 96 10 2ni 20 runs would have been scored as one run. Which is your option? The D one. Look brother, how much everyone has earned.
Sir Prashant Bhaiya the time table is from 9 o'clock.
From 9:00 and until the green will.
Correct. Yes Prashant Bhai, its time table is from 9:00 am till God's will. That is, until the question is finished. Ok? That's until then.
And brother, the time for your practice set in the afternoon class is from 2 to 3.
Ok? So, you must have understood this question.
And this brother, this is a question for you people. Please take a screenshot. Please answer this in the comments. Ok?
Look carefully and take a screenshot of it brother.
You have to give the answer in the comment box.
Ok? Where will you answer? In the comments. And brothers, everyone please comment so that we can also know. So many people have got the answer correct.
Correct? And brother, have you liked the class yet or not, you guys should check it quickly and if you have not done so then please like and share the class. Ok.
If you liked it then there is no need to like it, if not then there is no need to like it. Correct? Have you understood, brother? So see you again tomorrow at the same time. Till then, hello to all brothers.
Jai Hind. Good night.
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